It could very well be that their best interest is in satisfying their big customers, the companies that invest massive amounts of money in advertising, publishing and divulging their products and services through Google platforms.
Hence the existence of Content ID as a tool for takedown as opposed to rely simply the existing tools like DMCA takedown notices.
The later is, in theory, fair as it gives the accused a clear remedy for false accusations (demand reinstatement of the video and wait for the court battle with the video in place) while the former is a process completely in control by Google and it is up to their discretion to fix the situation.